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What is the Least Common Multiple of 3416 and 3431?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 3416 and 3431 is 11720296.

LCM(3416,3431) = 11720296

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Least Common Multiple of 3416 and 3431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3416 and 3431, than apply into the LCM equation.

GCF(3416,3431) = 1
LCM(3416,3431) = ( 3416 × 3431) / 1
LCM(3416,3431) = 11720296 / 1
LCM(3416,3431) = 11720296

Least Common Multiple (LCM) of 3416 and 3431 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3416 and 3431. First we will calculate the prime factors of 3416 and 3431.

Prime Factorization of 3416

Prime factors of 3416 are 2, 7, 61. Prime factorization of 3416 in exponential form is:

3416 = 23 × 71 × 611

Prime Factorization of 3431

Prime factors of 3431 are 47, 73. Prime factorization of 3431 in exponential form is:

3431 = 471 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 3416 and 3431.

LCM(3416,3431) = 23 × 71 × 611 × 471 × 731
LCM(3416,3431) = 11720296